Is there a premise for Hooke s law to be used?

From the definition and expression analysis, the expression of Hooke's law is f kx, where k is a constant, which is the stubbornness coefficient of the object, which is only related to the properties of the material; x is a deformation variable and has nothing to do with acceleration and deceleration. So as long as the ** elasticity range is true.

Hooke's law is much more widely applied than expected, and the generalized Hooke's law can be obtained by applying it to three-way stress and strain states.

I'll break it down with you:

First of all, you mentioned that when moving at rest or at a constant speed, the force at both ends of the spring must be equal, because according to Newton's third law, the force and the reaction force must be an equal pair of forces, so you can try to pull the two ends of the original spring with two springs, and the pulling force must be equal.

This has nothing to do with the mass of the springs at both ends, because the springs themselves have a balancing force that equalizes the forces at both ends.

Then, you mentioned the question about constant velocity vs. acceleration.

At the time of acceleration, we know that force is the cause of changing the state of motion of an object according to Newton's second law, and if it has acceleration, its velocity is changing, that is, its state of motion has changed. So if you pull the springs at both ends, the force in the same direction as the acceleration must be greater than the force at the other end, and the subtraction of the two forces is exactly what provides the spring to accelerate.

In fact, Hooke's law still idealizes some conditions, but they have little effect on the result, such as the spring has no mass (and no inertia), and the test is at a certain temperature, because temperature has an effect on the stubbornness coefficient of the object.

You see, Hooke's law doesn't work, it applies in situations where exact calculations are not required.

It doesn't affect any acceleration or anything.

Hooke's theorem, there is no limit, only the spring is true, and you will understand it in the first year of high school!!

Within the elastic limit of the spring, if the force is too great, the spring will be straightened, and the spring will be regarded as an object, and the force will be analyzed, and then Hooke's law.

The premise is that you need to know Hooke's Law.

Hooke's law is one of the fundamental laws of mechanics. The law of elasticity, which applies to all solid materials, states that within the limits of elasticity, the deformation of an object is proportional to the external force that causes the deformation. This law was discovered by the British scientist Hooke, so it is called Hooke's law.

The expression of Hooke's law is f kx, where k is a constant, which is the stubbornness coefficient of the object. In the International System of Units, the unit of f is the ox, the unit of x is the meter, which is the deformation (elastic deformation), and the unit of k is the number of bulls. The stubbornness coefficient is numerically equal to the elastic force of the spring when it is elongated (or shortened) per unit length.

The law of elasticity is one of Hooke's most important discoveries and one of the most important fundamental laws of mechanics. In modern times, it is still an important basic theory of physics. Hooke's law of elasticity states that within the limits of elasticity, the elastic force f of a spring is proportional to the length x of the spring, i.e., f=

is the coefficient of elasticity of the substance, which is determined by the properties of the material, and the negative sign indicates that the elastic force produced by the spring is opposite to the direction of its elongation (or compression).

In order to prove this law, Hooke also conducted extensive experiments and made elastomers of various shapes made of various materials.

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Analysis: Hooke's Law.

Within the elastic limit, the elastic force of the spring is proportional to the deformation (elongation or compression value) of the spring. Writing:

f=k·x, where: "f", represents the elastic force of the spring, and the elastic force is the force applied to the force applied when the spring is deformed.

x" is the length of the spring elongation or shortening, note that "x" is based on the length of the spring when it is invisible, that is, x=x'-x0 or x=x0-x'。

k", called the sail stiffness coefficient of the spring, which describes the magnitude of the elastic force generated by the unit deformation, and the large k value indicates that the force required for the deformation unit is long, or the spring is "hard". k is related to the spring material, length, thickness, etc. The SI unit of k is Nm.

If several of the same spring-back hail springs are connected in series or parallel, the stiffness coefficient of this new spring is no longer the original stiffness coefficient. As shown in Fig. (1), if the stiffness coefficient of two springs with stiffness coefficients of k is k1 in series, then there is f=k1·x, and since the elastic force of point a is also f, the stiffness coefficient of two springs with the same original length k can be written for spring 1 when k2 is k2 when they are connected in parallel.

f=k2·x

1. Hooke's law, once translated as Hooke's law, is a basic law in the theory of mechanics and elasticity, which is expressed as: after a solid material is subjected to the force of trouser bonds, there is a linear relationship between the stress in the material and the strain (unit deformation). Materials that satisfy Hooke's law are called linear elastic or Hookean-type (English hookean) materials.

2. From a physical point of view, Hooke's law originates from the fact that the atoms inside most solids (or isolated molecules) are in a state of stable equilibrium without external loading.